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Finding the Fourth Proportional to 10,003.70, 14,969.10 and 9,128.90

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Solution

The fourth proportional to 10,003.70, 14,969.10 and 9,128.90 is: 13,660.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.70 : 14,969.10 = 9,128.90 : x
  2. Step 2: Convert to fraction form
    10,003.70/14,969.10 = 9,128.90/x
  3. Step 3: Cross multiply
    10,003.70x = 14,969.10 × 9,128.90
  4. Step 4: Simplify right side
    10,003.70x = 136,651,416.99
  5. Step 5: Solve for x
    x = 136,651,416.99/10,003.70
  6. Step 6: Final answer
    x = 13,660.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.